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Example 58.3.2. Let $G$ be a topological group. An important example will be the forgetful functor
\begin{equation} \label{pione-equation-forgetful} \textit{Finite-}G\textit{-Sets} \longrightarrow \textit{Sets} \end{equation}

where $\textit{Finite-}G\textit{-Sets}$ is the full subcategory of $G\textit{-Sets}$ whose objects are the finite $G$-sets. The category $G\textit{-Sets}$ of $G$-sets is defined in Definition 58.2.1.

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